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求解逆拟变分不等式的时滞神经网络

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文章主要研究求解欧氏空间中逆拟变分不等式问题的一种时滞神经网络.首先,在余强制和Lipschitz连续性的条件下,利用不动点原理得到逆拟变分不等式问题解的存在性和唯一性.进一步考虑求解逆拟变分不等式问题的一种时滞神经网络,并且在强单调和Lipschitz连续性的条件下证明该时滞神经网络的全局指数稳定性.
Time-delay Neural Networks for Solving Inverse Quasi-variational Inequalities
In this paper,a delay neural network for solving inverse quasi-variational inequalities in Euclid-ean space was studied.Firstly,under the conditions of cocoercion and Lipschitz continuity,we obtained the existence and uniqueness of the solution of the inverse quasi-variational inequality problem by using the fixed point principle.Furthermore,we considered a delayed neural network for solving the inverse qua-si-variational inequality problem,and proved the global exponential stability of the delayed neural network under the conditions of strongly monotone and Lipschitz continuity.

cocoercionLipschitz continuitystrongly monotoneinverse quasi-variational inequalitytime-delay neural networkglobal exponential stability

张欢、郭正洁、冯世强

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西华师范大学数学与信息学院,四川南充 637009

余强制 Lipschitz连续性 强单调 逆拟变分不等式 时滞神经网络 全局指数稳定

2025

西华师范大学学报(自然科学版)
西华师范大学

西华师范大学学报(自然科学版)

影响因子:0.212
ISSN:1673-5072
年,卷(期):2025.46(1)